76313352775968 has 480 divisors, whose sum is σ = 280038801208320. Its totient is φ = 19805840893440.

The previous prime is 76313352775951. The next prime is 76313352775997. The reversal of 76313352775968 is 86957725331367.

It is a happy number.

76313352775968 is a `hidden beast` number, since 7 + 6 + 3 + 1 + 3 + 3 + 5 + 27 + 7 + 596 + 8 = 666.

It is a super-3 number, since 3×76313352775968³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76313352775896 and 76313352775905.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251124405 + ... + 251428107.

It is an arithmetic number, because the mean of its divisors is an integer number (583414169184).

Almost surely, 2^{76313352775968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76313352775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140019400604160).

76313352775968 is an abundant number, since it is smaller than the sum of its proper divisors (203725448432352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76313352775968 is a wasteful number, since it uses less digits than its factorization.

76313352775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305002 (or 304985 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 76313352775968 in words is "seventy-six trillion, three hundred thirteen billion, three hundred fifty-two million, seven hundred seventy-five thousand, nine hundred sixty-eight".